The price p (in dollars) and the demand x for a particular clock radio are related by the equation x = 4000 - 80p. (A) Express the price p in terms of the demand x, and find the domain of this function. (B) Find the revenue R(x) from the sale of x clock radios. What is the domain of R? (C) Find the marginal revenue at a production level of 3000 clock radios. (D) Interpret R'(3600) = - 40.00.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The price p (in dollars) and the demand x for a particular clock radio are related by the equation x = 4000 - 80p.
(A) Express the price p in terms of the demand x, and find the domain of this function.
(B) Find the revenue R(x) from the sale of x clock radios. What is the domain of R?
(C) Find the marginal revenue at a production level of 3000 clock radios.
(D) Interpret R'(3600) = -40.00.
(A) p =p(x)=
Transcribed Image Text:The price p (in dollars) and the demand x for a particular clock radio are related by the equation x = 4000 - 80p. (A) Express the price p in terms of the demand x, and find the domain of this function. (B) Find the revenue R(x) from the sale of x clock radios. What is the domain of R? (C) Find the marginal revenue at a production level of 3000 clock radios. (D) Interpret R'(3600) = -40.00. (A) p =p(x)=
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